The function f(t) = 5sin(3t) + 4 represents the oscillations of the spring it had an amplitude of 5, a frequency of 3/(2pi), and a midline of 4 option second is correct.
What is the frequency?
It is defined as the number of waves that crosses a fixed point in one second known as frequency. The unit of frequency is per second.
We have amplitude A = 5
Frequency f = 3/(2Ï€)
Midline m = 4
The equation for the simple periodic motion is given by:
f(t) = Asin(wt+∅) + m
Here phase angle ∅ = 0
We know:
w = 2Ï€f
w = 2Ï€(3/2Ï€)
w = 3
Put all the values in the equation:
f(t) = 5sin(3t) + 4
Thus, the function f(t) = 5sin(3t) + 4 represents the oscillations of the spring it had an amplitude of 5, a frequency of 3/(2pi), and a midline of 4
Learn more about the frequency here:
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